%0 Journal Article
%T On the Numerical Solution of Singular Integral Equation with Degenerate Kernel Using Laguerre Polynomials
%A Khadeejah Sultan Alroogy
%A Musa Adam Aigo
%J American Journal of Computational Mathematics
%P 153-160
%@ 2161-1211
%D 2023
%I Scientific Research Publishing
%R 10.4236/ajcm.2023.131007
%X In this
paper, we derive a simple and efficient matrix formulation using Laguerre
polynomials to solve the singular integral equation with degenerate kernel.
This method is based on replacement of the unknown function by truncated series
of well known Laguerre expansion of functions. This lead</span></span><span><span><span style=\"font-family:&quot;\">s</span></span></span><span><span><span style=\"font-family:&quot;\"> to a
system of algebraic equations with Laguerre coefficients. Thus, by solving the
matrix equation, the coefficients are obtained. Some numerical examples are
included to demonstrate the validity and applicability of the proposed method.
%K Singular Integral Equation
%K Projection Method
%K Galerkin Method
%K La-guerre Polynomials
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=123820